{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T05:00:01Z","timestamp":1747198801947,"version":"3.40.5"},"reference-count":37,"publisher":"Vilnius University Press","license":[{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023]]},"abstract":"<jats:p>In this paper, at first, we define the notion of general fuzzy automaton over a field; we call this automaton vector general fuzzy automaton (VGFA). Moreover, we present the concept of max-min vector general fuzzy automaton. We show that if two max-min VGFA are similar, they constitute an isomorphism. After that, we prove that if two VGFA constitute an isomorphism with threshold \u03b1, they are equivalent with threshold \u03b1, where $\\alpha \\in [0,1]$. Also, some examples are given to clarify these new notions.<\/jats:p>","DOI":"10.15388\/23-infor514","type":"journal-article","created":{"date-parts":[[2023,3,23]],"date-time":"2023-03-23T12:37:29Z","timestamp":1679575049000},"page":"617-633","source":"Crossref","is-referenced-by-count":0,"title":["Isomorphism Between Two Vector General Fuzzy Automata"],"prefix":"10.15388","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9320-9433","authenticated-orcid":false,"given":"Marzieh","family":"Shamsizadeh","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ehsan","family":"Movahednia","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Manuel","family":"De la 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